407475746048 has 180 divisors, whose sum is σ = 951260741088. Its totient is φ = 174191754240.

The previous prime is 407475746023. The next prime is 407475746173. The reversal of 407475746048 is 840647574704.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 407475745984 and 407475746002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 395223293 + ... + 395224323.

Almost surely, 2^407475746048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407475746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475630370544).

407475746048 is an abundant number, since it is smaller than the sum of its proper divisors (543784995040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

407475746048 is an frugal number, since it uses more digits than its factorization.

407475746048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 21073920, while the sum is 56.

The spelling of 407475746048 in words is "four hundred seven billion, four hundred seventy-five million, seven hundred forty-six thousand, forty-eight".